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Finding the Third Proportional to 189,891 and 295,204.50

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Solution

The third proportional to 189,891 and 295,204.50 is: 458,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891 : 295,204.50 = 295,204.50 : x
  2. Step 2: Convert to fraction form
    189,891/295,204.50 = 295,204.50/x
  3. Step 3: Cross multiply
    189,891x = 295,204.50 × 295,204.50
  4. Step 4: Simplify right side
    189,891x = 87,145,696,820.25
  5. Step 5: Solve for x
    x = 87,145,696,820.25/189,891
  6. Step 6: Final answer
    x = 458,924.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.